Prime p₀= 1245865263697846241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 64 2 58 2 22 2 16 2 28 2 (?)
a_n: 0 2 90 92 156 158 216 218 240 242 258 260 288 290
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 290
Found by: marmot
db: batch=77, k=14, 88 64 58 22 16 28

SPT(16)	1245863529014090929	0 10 24 28 88 94 118 148 150 180 204 210 270 274 288 298	-1734683755312
SPT(16)	1245864301964120233	0 30 40 48 54 70 94 114 160 180 204 220 226 234 244 274	-961733726008
SPT(16)	1245864736263132487	0 6 34 40 64 66 102 112 144 154 190 192 216 222 250 256	-527434713754
STPT(10)	1245865067752274087	0 2 30 32 42 44 54 56 84 86	-195945572154
SPT(16)	1245865128377162959	0 24 70 84 108 130 138 142 150 154 162 184 208 222 268 292	-135320683282
SPT(16)	1245865142388749797	0 12 40 102 124 160 192 270 286 364 396 432 454 516 544 556	-121309096444
SPT(16)	1245865303151346937	0 82 154 156 190 196 244 306 310 372 420 426 460 462 534 616	39453500696
SPT(16)	1245865522059135437	0 6 42 50 92 120 146 176 180 210 236 264 306 314 350 356	258361289196
STPT(10)	1245865681756635617	0 2 60 62 72 74 84 86 144 146	418058789376
STPT(10)	1245865683738118769	0 2 18 20 30 32 42 44 60 62	420040272528
SPT(16)	1245865818116759467	0 40 70 90 154 196 234 246 304 316 354 396 460 480 510 550	554418913226